C₂³×C₂²⋊C₄×D₈₃ #36310954

order	21248
automorphism	?
homology	Abelianization (H₁) = C₂⁵×C₄ · Schur multiplier (H₂) = C₂¹⁶

Aliases

C₂³×C₂²⋊C₄×D₈₃

Fitting	C₂³×C₂²⋊C₄×C₈₃ ⋊ C₂
Sylow	C₈₃ ⋊ C₂⁴×C₂²⋊C₄

43678 conjugacy classes of subgroups.

μ_t(G) = 5312

3440 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 1076118);